Question

find the area of the shaded region. all angles are right angles.

the area of the shaded region is \\(\square\\) \\(\text{m}^2\\).
(simplify your answer.)

Explanation:

Calculate the total bounding rectangle area

$$ A_{\text{total}} = 11 \times 4 = 44 $$

Calculate the unshaded inner rectangle area

$$ A_{\text{unshaded}} = 7 \times 2 = 14 $$

Subtract the unshaded area from the total area

$$ A_{\text{shaded}} = A_{\text{total}} - A_{\text{unshaded}} = 44 - 14 = 30 $$

Answer:

The area of the shaded region is <blank>30</blank> \(\text{m}^2\).
(Simplify your answer.)